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Finding the Fourth Proportional to 1,497.73, 2,065.25 and 937.54

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Solution

The fourth proportional to 1,497.73, 2,065.25 and 937.54 is: 1,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.73 : 2,065.25 = 937.54 : x
  2. Step 2: Convert to fraction form
    1,497.73/2,065.25 = 937.54/x
  3. Step 3: Cross multiply
    1,497.73x = 2,065.25 × 937.54
  4. Step 4: Simplify right side
    1,497.73x = 1,936,254.49
  5. Step 5: Solve for x
    x = 1,936,254.49/1,497.73
  6. Step 6: Final answer
    x = 1,292.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.